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In differential geometry and theoretical physics, the Petrov classification (also known as Petrov–Pirani–Penrose classification) describes the possible algebraic symmetries of the Weyl tensor at each event in a Lorentzian manifold.
It is most often applied in studying exact solutions of Einstein's field equations, but strictly speaking the classification is a theorem in pure mathematics applying to any Lorentzian manifold, independent of any physical interpretation. The classification was found in 1954 by A. Z. Petrov and independently by Felix Pirani in 1957.
and 23 Related for: Petrov classification information
geometry and theoretical physics, the Petrovclassification (also known as Petrov–Pirani–Penrose classification) describes the possible algebraic symmetries...
noted for his work on the classification of Einstein spaces, today called Petrovclassification. The Petrovclassification is related with the Weyl tensor...
components Ratner classification theorem Classification of electromagnetic fields Petrovclassification – Classification used in differential geometry and general...
often stated in terms of the Petrovclassification of the possible symmetries of the Weyl tensor, or the Segre classification of the possible symmetries...
tensor classifications useful in general relativity include the Segre classification of the energy–momentum tensor and the Petrovclassification of the...
not a gravitomagnetic component (gravitational radiation); see Petrovclassification. The gravitoelectric field is a static field and therefore cannot...
classification of the Weyl tensor, which he discovered in 1957 independently of A.Z. Petrov and is sometimes called the Petrov-Pirani classification....
application in the classification of exact solutions in general relativity. Corrado Segre Jordan normal form Petrovclassification Stephani, Hans; Kramer...
spacetimes, including using the Segre classification of the energy–momentum tensor or the Petrovclassification of the Weyl tensor have been studied extensively...
symmetries of the Plebanski tensor in a manner analogous to the Petrovclassification. Plebański, J. (1964), "The Algebraic structure of the Tensor of...
Weyl tensor, and abstract index notation is used. Moreover, in the Petrovclassification, C a b c d ( 1 ) {\displaystyle C_{abcd}^{(1)}} is type N, C a b...
Electromagnetic peeling theorem Electrovacuum solution Lorentz group Petrovclassification The rank given here corresponds to that as a linear operator or...
the Dublin Institute for Advanced Studies 14, Series A) 1964 The PetrovClassification of Gravitational Fields; Pub: DIAS (Communications of the Dublin...
diagrams and geometrical methods. 1957 – Felix A. E. Pirani uses Petrovclassification to understand gravitational radiation. 1957 – Richard Feynman introduces...
efficient computation of Ricci and Weyl spinor components and of Petrovclassification efficient computation of the Carminati-McLenaghan invariants and...
Demystified - A Self-Teaching Guide. Chapter 9: Null Tetrads and the PetrovClassification. New York: McGraw-Hill, 2006. Subrahmanyan Chandrasekhar. The Mathematical...
Unified Sports Classification System of the USSR (Russian: Единая Всесоюзная спортивная классификация) is a document which provided general Soviet physical...
that it is particularly associated with gossan, but this is disputed by Petrov. Associated minerals include metavivianite, ludlamite, pyrite, siderite...
such knowledge is more specialized. The elliptic/parabolic/hyperbolic classification provides a guide to appropriate initial and boundary conditions and...
Mountains classification 10th Overall Tour of Mersin "Georgi Petrov Georgiev". ProCyclingStats. Retrieved 16 August 2016. Georgi Georgiev Petrov at UCI Georgi...